Math homework.?

Question

Show me how to do it & show the work.

3k + 16 = 15k

n + 4n - 22 = 7n

8h - 10h = 3h + 25

Answer 1

3k+16= 15k is a two-step equation.
3k - 3k + 16 = 15k - 3k
16 = 12k
k = 12/16 or 3/4

n+4n-22=7n
5n-22 = 7n
5n-5n-22 = 7n-5n
-22 = 2n
n=-11

8h-10h = 3h + 25
-2h = 3h + 25
-2h-3h = 3h - 3h + 25
-5h = 25
h = -5

The key to these problems is to combine like terms and then finally isolate the variable you are solving for and then simplify your answer.
Hope this helps!

Answer 2

3k + 16 = 15k
bringing 3k on the RHS, changes '+' to '-',
16 = 15k - 3k
16 = 12k
16/12 = k
4/3 = k

n + 4n -22 = 7n
carrying 4n and n on the RHS, the '+' changes to '-',
-22 = 7n - 4n - n
-22 = 2n
-11 = n

8h -10h = 3h + 25
carrying 3h on the LHS, changes '+' to '-',
8h -10h -3h = 25
-5h = 25
h = 25/-5
h = -5

Answer 3

3k + 16 = 15k
16 = 12k
16/12 = 4/3 = k

n + 4n - 22 = 7n
5n - 22 = 7n
-22 = 2n
-11 = n

8h - 10h = 3h + 25
-2h = 3h + 25
-5h = 25
h = -5

Answer 4

subtract 3k from 15k. divide 16 by 12. you get (4/3)=k or 15k-3k=16, 16=12k

add 4n and n to get 5n. subtract 5n from 7n. -22=2n. divide -22 by 2 and get n=-11

add 8h to -10h and get -2h. and 3h to get h=25

Answer 5

3k+16-3k=15k-3k (subtract 3k from each side)
16=12k
16/12=12k/12 (dived each side by 12)
1.333=k
Proof: 3(1.333)+16=4+16=20
15(1.333)=20

n+4n=5n
5n-22=7n
5n-22-5n=7n-5n (subtract 5n from each side)
-22=2n
-11=n
Proof: -11+4(-11)=-55
5(-11)=-55

8h-10h= -2h
-2h=3h+25
-2h-3h=3h+25-3h (subtract -3h from each side)
-5h=25
h= -5
Proof: 8(-5)-10(-5)= -40+50=10
3(-5)+25= -15+25=10

Answer 6

3k+16=15k
=>3k+16-16=15k-16 [subtracting 16 from both sides]
=>3k=15k-16
=>3k-15k=15k-16-15k[subtracting 15k from both sides]
=> -12k=-16
=>-12k/-12=-16/-12[dividing both sides by-12]
=>k=4/3 ans
n+4n-22=7n
=>5n-22+22=7n+22[adding 22 to bothsides]
=>5n=7n+22
=>5n-7n=7n=22-7n
=>-2n=22
=>-2n/-2=22/-2[dividing both sides by -2]
=>n= -11
8h-10h=3h+25
=> -2h-3h=3h-3h+25[subtracting 3h from both sides]
=>-5h=25
-5h/-5=25/-5[dividing both sides by -5]
=.h= -5 ans